Wanderer finally finished being a wanderer (5)
I believe the answer is:
rover
'a wanderer' is the definition.
(synonyms)
'wanderer finally finished' is the wordplay.
'finally' indicates one should take the final letters.
'finished' becomes 'over' (over can mean finished or ended).
The final letter of 'wanderer' is 'r'.
'r'+'over'='ROVER'
'being' is the link.
(Other definitions for rover that I've seen before include "A vagrant" , "one in Bristol, one in Doncaster, perhaps" , "Nomad" , "Car - dog" , "Wanderer, rolling stone" .)